Ognyan Kounchev

Professor, PhD, D.Sci.


Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 

Acad. G. Bonchev St. 8,  1113 Sofia, Bulgaria, t.n +359 2 979 3851;  fax  ++359-2-971 3649

Interdisciplinary Center for Complex Systems (IZKS-Interdisziplinäres Zentrum für Komplexe Systeme), University of Bonn 

Römerstr. 164, 53117 Bonn, Telefon: +49 228 73 4304


e-mail addresses (sorry about the inconvenience but the address is subdivided for avoiding the robots producing spam):


kounchev  at   the following   addresses:




Project Coordination:

Director of Astroinformatics Project with Bulgarian NSF

Director of Digitization Project with Serbian Academy of Sciences, jointly with Institute of Astronomy, Bulgarian Academy of Sciences



Seminar  “Signal Analysis and Mathematical Finance”

  Presentations available online:

1.    Krasimir Milanov (FinAnalytica Ltd.), Advanced Numerical Methods for Financial Problems. Pricing of Derivatives, lecture delivered on September 28, 2006

2.    Prof. Racho Denchev (Faculty of Mathematics and Informatics, Sofia University), Lecture Notes on Market Dynamics


Past conferences organized:

Workshop "Computer Science and Mathematical Methods in Astroinforamtics", at the Congress of MASSEE in  Ohrid, Macedonia, September 15-20, 2009.        

 NATO Programme Security through Science, Advanced Research Workshop “Scientific Support for Decision Making in the Security Sector, October 21-25, 2006, Velingrad, Bulgaria.  Proceedings of the NATO ARW:  Cover, Editorial and Table of Contents, Subject and Author Index

C o n f e r e n c e on PDE Methods in Applied Mathematics and Image Processing, September 6-10, 2004, Sunny Beach, Bulgaria.

Minisymposium "Optimization, Approximation, Multiscale Analysis with Applications to Signal and Image Processing" within the Congress of Mathematical Society of Southeastern Europe, September 15-21, 2003, Borovets, Bulgaria

Workshop on "Multiscale Approximations (wavelets, splines, RBF) and applications to Signal and Image Processing"  within the Sendov Conference on Approximation theory in Varna, June-17-23, 2002. See some photos with Sergei Mikhailovich Nikolskii.


A list of downloadable papers - still working on that...

A prettily  complete list of papers


Monograph, appeared in 2001:

Multivariate Polysplines. Applications to Numerical and Wavelet Analysis, Academic Press/ currently Elsevier. 2001. 

For the Amazon sale see  hereor, see how it looks like in Cover.

See some chapters:  Table of Contents, Chapter 1 which is the Introduction;  Chapter 6  containing  applications of the polysplines to magnetic data and to CAGD data,  Chapter 13  which contains an exposition of the Micchelli's theory of cardinal L-splines,  and Chapter 16  containing a brief review of Chui's cardinal spline wavelet analysis. Here you will find the data of the Cobb offset to which the polysplines were applied in Chapter 6.

PLEASE SUBMIT ERRATA TO THE MONOGRAPH "Multivariate Polysplines" (form prepared by Damyan Kalaglarski). 



Alexander von Humboldt Foundation – Research Grants, 1992-1994; 2002; 2009-2010

Fulbright Commission – Senior Scholar Grant, 2000-2001 


National High School of Mathematics and Science "Acad. Liubomir Tchakalov"; see photo  and  short biography of L. Chakalov.

Professional Experience (longer visits)

2005/2006/2009: Visiting  Institute of Applied Mathematics, University of Bonn, Germany

2002/2003/2004/2005/2006: Visiting  Institute of Mathematics, University of Duisburg-Essen, Germany

2000-2001: Visiting Professor– Department of Computer Sciences, University of Wisconsin - Madison, USA

1999: Visiting Professor – Institute for Applied Mathematics, University of Hamburg, Germany

1996-1998: Visiting by a Project "The Polyharmonicity Concept in Constructive Theory of Functions"

with the Volkswagen Foundation (Hannover) – Department of Mathematics, University of Duisburg

1997: Visiting Professor, Institute for Applied Mathematics, University of Hamburg, Germany

1994, 1995: Visiting Research Professor by projects with the Max Planck Society – WG of the Max Planck Society, Department of Mathematics, University of Potsdam

1992-1994: Grant from the Alexander von Humboldt Foundation (Bonn) – Department of Mathematics, University of Duisburg

1991: Visiting Associate Professor, Northwestern University, Evanston, USA

1995-2004: Associate Professor, Institute of Mathematics, Bulgarian Academy of Sciences 

1984-1995: Assistant Professor, Institute of Mathematics, Bulgarian Academy of Sciences


Research Interests:

  • Time Series Analysis, Multivariate Series Analysis, new methods based on Spline and Wavelet Analysis; Applications to Mathematical Finance; 
  • Partial Differential Equations, Potential Theory and Applications to Inverse problems in Geophysics and Geomagnetism;
  • Applications of solutions of higher order elliptic equations (in particular polyharmonic and polyanalytic functions) to Multivariate Constructive Theory of Functions – Approximation Theory, Spline Theory, Moment Problems and Orthogonality;
  • Applications of solutions of higher order elliptic equations Computer Aided Geometric Design - applications of polysplines to design of automobile, aircraft fuselage, turbine, etc. surfaces;
  • Harmonic Analysis and especially Wavelet Analysis;
  • Multivariate orthogonality, Padé approximations with applications to Inverse Problems in Spectral Theory, and Operators in Hilbert space with infinite multiplicity, in particular Schroedinger operators;
  • Elliptic BVP in domains with singularities;

Some past projects:

2003-2008: Institutes Partnership with the Alexander von Humboldt Foundation, with University of Bremen (Center for Technomathematics, Prof. Peter Maass), University of Duisburg-Essen (Department of Applied Analysis, Prof. Werner Haussmann, Prof. Gerlind Plonka, PD Hermann Render), Max-Planck Institute for Mathematics in the Sciences in Leipzig (Department of Scientific Computations, Prof. Wolfgang Hackbusch), University of Potsdam (Department of Partial Differential Equations, Prof. Bert-Wolfgang Schulze). Workshop on May 8, 2006, at the University of Duisburg-Essen, campus Duisburg. Program of the Workshop.

2003-2007: Joint research project in the framework of the Greek-Bulgarian S&T Cooperation “Study of biomedical data by the methods of Multiresolution Analysis. Applications of polyspline wavelets to immuno-computations and brain research”, with participants from The Aristotle University of Thessaloniki (Department of Informatics, Prof. Costas Karanikas, Dr. Nikolaos Atreas), and Institute of Physiology and Institute of Information Technologies, Bulgarian Academy of Sciences.

2005: Joint research project via DFG  “Applications of spline and wavelet analysis to yield curve” with participants, University of Bonn (Department of Applied Mathematics, Prof. Sergio Albeverio).


Ph. D. students supervised jointly with Prof.  Milcho K. Tsvetkov  (alphabetic order): Damyan G. Kalaglarsky and Rumen G. Bogdanovski. We are trying to model pictures like the Astronomy picture of the day, e.g. this (see it bigger).


Might be very useful:

Writing Latex2e efficiently with Scientific Work Place: How to stop worrying about working with big formulas and larger documents, and almost the same in Postscript.

Last update: October 1, 2009.